the height of a cylinder is 9.5 CM the diameter of this soulless 1.5 CM longer than the height what is the volume of the cylinder to the nearest whole number

Respuesta :

Answer:[tex]V\text{ = }903cm^3[/tex]

Explanations:

The height of the cylinder, h = 9.5 cm

The diameter is 1.5 cm longer than the height

d = h + 1.5

d = 9.5 + 1.5

d = 11 cm

The radius = diameter / 2

r = d/2

r = 11/2 cm

The volume of a cylinder is given by the formula:

[tex]V\text{ = }\pi r^2h[/tex][tex]\begin{gathered} V\text{ = }\frac{22}{7}\times(\frac{11}{2})^2\times9.5 \\ V\text{ = }\frac{22}{7}\times\frac{121}{4}\times9.5 \\ V\text{ = }903cm^3 \end{gathered}[/tex]

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